Applications of quantum theory
Start with the big picture
The lesson begins with the Schrödinger equation and wavefunctions: quantized energy levels account for discrete atomic and molecular spectra, while probability densities describe electron distributions relevant to bonding and reactivity. It then connects molecular orbital theory and band theory to chemical bonds and solid materials. Spectroscopic methods—including electronic, vibrational, rotational, photoelectron, NMR, and ESR/EPR techniques—are considered as ways to investigate quantum states and transitions. Further applications include field-induced energy-level splitting, photochemistry, non-adiabatic dynamics, tunneling, laser operation, quantum confinement, superconductivity, and superfluidity. Together, these examples show how quantum concepts support the interpretation of molecular structure, material properties, and interactions with electromagnetic radiation.
What you'll learn
- Explain how the Schrödinger equation relates to quantized energy levels and discrete spectra.
- Describe how wavefunction probability densities inform electron distribution, bonding, and reactivity.
- Identify how molecular and band theories connect quantum states with bonds and material behavior.
- Relate spectroscopy methods to the quantum transitions or properties they investigate.
- Recognize applications of quantum theory in tunneling, lasers, photochemistry, and quantum-confined materials.
Continue your study
Work through the complete notes and reinforce the topic with the study tools available in the full lesson.
